Inner reflectors and non-orientable regular maps

Marston Conder, Stephen E Wilson

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Regular maps on non-orientable surfaces are considered with particular reference to the properties of inner reflectors, corresponding to symmetries of the 2-fold smooth orientable covering which project onto local reflections of the map itself. An example is given where no inner reflector is induced by an involution, and the existence of such involutions is related to questions of symmetry of coset diagrams for the symmetry group of the map.

Original languageEnglish (US)
Pages (from-to)367-372
Number of pages6
JournalDiscrete Mathematics
Volume307
Issue number3-5
DOIs
StatePublished - Feb 6 2007

Fingerprint

Regular Map
Reflector
Involution
Symmetry
Non-orientable Surface
Coset
Symmetry Group
Fold
Covering
Diagram

Keywords

  • Non-orientable surfaces
  • Regular maps
  • Symmetries

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Inner reflectors and non-orientable regular maps. / Conder, Marston; Wilson, Stephen E.

In: Discrete Mathematics, Vol. 307, No. 3-5, 06.02.2007, p. 367-372.

Research output: Contribution to journalArticle

Conder, Marston ; Wilson, Stephen E. / Inner reflectors and non-orientable regular maps. In: Discrete Mathematics. 2007 ; Vol. 307, No. 3-5. pp. 367-372.
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